Also Friday, the White House said Trump would only meet with the Venezuelan president "as soon as democracy is restored in that country."

On Thursday, Maduro had said he wants to meet with Trump and instructed his foreign minister to try to arrange a telephone conversation with the U.S. president.

"Mr. Donald Trump, here is my hand," Maduro said, adding that he wants as strong a relationship with the U.S. as he has with Russia, according to The Associated Press.

As to U.S. military action against Venezuela, the Pentagon said it had not received any such orders from the White House. Asked about specifics, Trump said: "We don't talk about it but a military operation – a military option – is certainly something that we could pursue."

The remarks come amid increasing concern about Venezuela and increasing unrest there following a vote that installed a new legislature beholden to Maduro.